Next question 0.7 C Find P(WIC) by referring to the tree diagram and using Bayes' formula. U 0.3 C' 0.1 0.1 0.2 Start V 0.9 C' C 0.7 0.4 W 0.6 C' .... P(WIC) (Type a decimal. Round to three decimal places if needed.)
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- Answer the following questions. 5. What is the term for the arrangement that selects r objects from a set of ii objects when the order of the r objects is not important? What is the formula for calculating the number of possible outcomes for this type of arrangement?Suppose that for a certain data, the Z score of the median = + 2.0, the distribution of the data is: a. Skewed to the right b. Skewed to the left c. Can not be determined d. Symmetric I need exeplain how i can solve this quistions type.The following data is the length of time (in minutes) consumed by 24 students inanswering their short assignment.19.5 17.2 23.8 22.5 20.0 19.117.0 20.5 14.9 15.5 17.2 18.521.7 19.1 18.8 16.3 18.8 18.023.0 16.0 19.1 18.8 18.8 16.7a. Find P25 b. Find D5 c. Find Q3d. If Jen is among the 24 students and it took her 16.7 minutes to finish her assignment,in what percentile does she belong?e. Create a boxplot.
- The average jump height of a normal man is said to be 18 inches. 15 normal males are selected and their jump height is measured.15.8 16.7 18.8 19.1 17.718.8 18.9 17.6 16.9 15.518.6 19.3 20.5 18.6 18.4In inches.With a 0.05 level of significance, what conclusion can you derive?a) A grocer wishes to see whether the median number of itemsbought on each sale could be considered to be 10, so he observes 12customers at the checkout counter. b)Can the Wilcoxon test beused? c) Which assumptions of the model are violated in thisproblem? d)Solve using the Wilcoxon signed-ranks test. Customer Number of Items Customer Number of Items 1 22 7 15 2 9 8 26 3 4 9 47 4 5 10 8 5 1 11 31 6 16 12 7A sample, from a population has a μ = 15 and σ = 24, has M = 13. If the sample corresponds to a z-score of -.50, how many scores were in the sample?
- At a certain school 60 of the 100 boys and 60 of the 80 girls signed up for the senior trip. Is there an associa-tion between going on the trip and gender? A) We can’t tell, because the class doesn’t have the samenumber of boys and girls.B) Yes, because the same number of boys and girlssigned up.C) Yes, because a lower percentage of boys signed upthan of girls.D) No, because the people on the trip were 50% boysand 50% girls.E) No, because the sign-up rate was higher among girlsthan among boys.Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 63% were stolen by professionals (P), whereas 37% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 25% were recovered within 48 hours (R<48), 23% were recovered after 48 hours (R>48), and 52% were never recovered (N). Of the vehicles presumed stolen by amateurs, 33% were recovered within 48 hours, 63% were recovered after 48 hours, and 4% were never recovered. (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours?(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)A gender psychologist is interested in studying whether children, when left on their own, actually show more interest in toys associated with their assigned gender. The psychotherapist allows the participants (n = 16) to move freely back and forth for 40 minutes between two rooms, one of which contains toys traditionally associated with girls and another which contains toys traditionally associated with boys. She collects the data and finds that on average the children spend 23 minutes in the room (M = 23) with the toys associated with their assigned gender, with a standard deviation of s = 9. She conducts a one-tailed test and sets the alpha at .05.
- A gender psychologist is interested in studying whether children, when left on their own, actually show more interest in toys associated with their assigned gender. The psychotherapist allows the participants (n = 16) to move freely back and forth for 40 minutes between two rooms, one of which contains toys traditionally associated with girls and another which contains toys traditionally associated with boys. She collects the data and finds that on average the children spend 23 minutes in the room (M = 23) with the toys associated with their assigned gender, with a standard deviation of s = 9. She conducts a one-tailed test and sets the alpha at .05. The alternative hypothesis is μ > ______ What is the critical t? _________ Calculate the t value and round to 2 decimals: _______ With alpha = .05. can she reject the null (type yes or no)? _______The following are the number of defective bolts produced by two machines. Machine A Machine B 2 3 4 7 6 0 5 2 8 11 10 9 1 7 3 1 6 8 Which machine is showing the more consistent performance?An analyst in the real estate business is interested in the relationship between the cost of the monthly rent of an apartment and the size of an apartment, in big cities. She gathers data for apartment buildings in 12 cities in 12 different states. In each city, she gets the numbers for at least 5 different buildings and at least 40 apartments in each building. She reaches the following conclusion: the rental cost of a 2-bedroom apartment is 50% more than the rental cost of a 1-bedroom apartment, and the rental cost of a 3-bedroom apartment is 50% more than the rental cost of a 2-bedroom apartment. Based on the paragraph, what is the minimum number of apartments she collected data on? Do you think her sample was large enough to be statistically valid? Based on the paragraph, are there any apartments or apartment buildings that she would have excluded from her study? Do you see any bias in how she selected apartments for her study? Based on the paragraph, is there a positive…